Answer:
a. L = μ₀AN²/l b. 1.11 × 10⁻⁷ H
Explanation:
a. The magnetic flux through the solenoid, Ф = NAB where N = number of turns of solenoid, A = cross-sectional area of solenoid and B = magnetic field at center of solenoid = μ₀ni where μ₀ = permeability of free space, n = number of turns per unit length = N/l where l = length of solenoid and i = current in solenoid.
Also, Li = Ф where L = inductance of solenoid.
So, Li = NAB
= NA(μ₀ni)
= NA(μ₀Ni/l)
Li = μ₀AN²i/l
dividing both sides by i, we have
So, L = μ₀AN²/l
b. The self- inductance, L = μ₀AN²/l where
A = πd²/4 where d = diameter of solenoid = 0.150 cm = 1.5 × 10⁻³ m, N = 50 turns, μ₀ = 4π × 10⁻⁷ H/m and l = 5.00 cm = 5 × 10⁻² m
So, L = μ₀AN²/l
L = μ₀πd²N²/4l
L = 4π × 10⁻⁷ H/m × π(1.5 × 10⁻³ m)²(50)²/(4 × 5 × 10⁻² m)
L = 11,103.3 × 10⁻¹¹ H
L = 1.11033 × 10⁻⁷ H
L ≅ 1.11 × 10⁻⁷ H
A ball rolls from x = -9.8 m to x = 11.0 m in 5.0 seconds what was its average velocity
Explanation:
avg velocity = total displacement / total time taken = (11 - (-9.8)) / 5.0 = 4.16m/s to the right when taken right to be positive
If a 8.1g ring is heated using 10.0 ), its temperature rises 21.7°C. Calculate the specific
heat capacity of the ring.
A 10.0-V battery is connected to a 120-Ω resistor. Ignoring the internal resistance of the battery, calculate the power delivered to the resistor.
Answer:
0.83W
Explanation:
Given parameters:
Voltage of the battery = 10V
Resistance = 120Ω
Unknown:
Power delivered by the resistor = ?
Solution:
The power delivered by the resistor can be derived using the expression below;
Power = [tex]\frac{V^{2} }{R}[/tex]
V is the voltage
R is the resistance
Now, insert the parameters and solve
Power = [tex]\frac{10^{2} }{120}[/tex] = 0.83W
A force of 250 N is applied to a hydraulic jack piston that is 0.02 m in diameter. If the piston that supports the load has a diameter of 0.15 m, approximately how much mass can be lifted by the jack? Ignore any difference in height between the pistons. A) 250 kg B) 700 kg C) 1400 kg D) 2800 kg E) 5600 kg
Answer:
C. 1400
Explanation:
The force exerted = f1 = 250
Diameter d1 = 0.02
r1 = d1/2 = 0.01
Diameter d2 = 0.15
r2 = d2/2 = 0.075
The mass of jack to lift
F1/A1 = f2/A2
250/r1² = f2/r2²
250/0.01² = f2/0.075²
When we cross multiply, we will have:
250x0.005625 = 0.0001f2
1.40625 = 0.0001f2
F2 = 1.40625/0.0001
F2 = 14062.5N
Force f = mg
g = 9.81
m = 14062.5/9.81
Mass = 1433Kg
Therefore option c is correct. A mass of 1400kg can be lifted by the jack
a rocket leaving the lanch pad is ana exmaple of which law
Answer:
Newton's Third Law
The boat goes forward, you go backward! A rocket can lift off from a launch pad only when it expels gas out of its engine. The rocket pushes on the gas, and the gas in turn pushes on the rocket.
Explanation:
Newton's Third Law
The boat goes forward, you go backward! A rocket can lift off from a launch pad only when it expels gas out of its engine
Explanation:
A spy satellite uses a telescope with a 1.7-m-diameter mirror. It orbits the earth at a height of 180 km.
What minimum spacing must there be between two objects on the earth's surface if they are to be resolved as distinct objects by this telescope?
Assume the telescope's resolution is limited only by diffraction and that it is recording light with a wavelength of 500 nm.
Answer: the minimum spacing that must be there between two objects on the earth's surface if they are to be resolved as distinct objects by this telescope 6.45 cm
Explanation:
Given that;
diameter of the mirror d = 1.7 m
height h = 180 km = 180 × 10³ m
wavelength λ = 500 nm = 5 × 10⁻⁹ m
Now Angular separation from the peak of the central maximum is expressed as;
sin∅= 1.22 λ / d
sin∅ = (1.22 × 5 × 10⁻⁹) / 1.7
sin∅ = 3.588 × 10⁻⁷
we know that;
sin∅ = object separation / distance from telescope
object separation = sin∅ × distance from telescope
object separation = 3.588 × 10⁻⁷ × 180 × 10³
object separation =6.45 × 10⁻² m
then we convert to centimeter
object separation = 6.45 cm
Therefore the minimum spacing that must be there between two objects on the earth's surface if they are to be resolved as distinct objects by this telescope 6.45 cm
A 27.0 cm long spring is hung vertically from a ceiling and stretches to 31.5 cm when a 7.00 kg mass is hung from its free end.
(a) Find the spring constant (in N/m).
___ N/m
(b) Find the length of the spring (in cm) if the 7.00 kg weight is replaced with a 205 N weight.
___ cm
Answer:
A=1526N/m
B =40cm
Explanation:
Step one;
given
initial length=27cm= 0.27m
final length= 31.5cm= 0.315m
mass m= 7kg
Step two:
Required
A.
Force= mg
Force=weight= 7*9.81= 68.67N
extenstion e
e=31.5-27=4.5cm= 0.045m
K= spring constant
we know that F=ke
k=F/e
k=68.67/0.045
k=1526N/m
B.
New weight= 205N
F=ke
e=205/1526
e=0.13m
new length = 0.13+0.27= 0.4m
to cm=0.40*100=40cm
Cliff divers at Acapulco jump into the sea from a cliff 36 meters high. At the level of the sea, there is an outcropping of rock that sticks out a horizontal distance of 6 meters. With what minimum horizontal velocity must the cliff divers leave the top of the cliff if they are to miss this rocky outcropping?
Answer:
The cliff drivers must leave the top of the cliff at 2.21 m/s
Explanation:
Horizontal Motion
When an object is thrown horizontally with a speed v from a height h, it describes a curved path ruled exclusively by gravity until it eventually hits the ground.
The range or maximum horizontal distance traveled by the object can be calculated as follows:
[tex]\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}[/tex]
If the range is known and we are required to find the initial speed of launch, then we can solve the above equation for v as follows:
[tex]\displaystyle v=d\cdot\sqrt{\frac {g}{2h}}[/tex]
Cliff drivers jump into the sea from a height of h=36 m and must pass over an obstacle d=6 meters away from the cliff.
Let's calculate the speed needed:
[tex]\displaystyle v=6~m\cdot\sqrt{\frac {9.8~m/s^2}{2\cdot 36~m}}[/tex]
[tex]\displaystyle v=6~m\cdot\sqrt{\frac {9.8~m/s^2}{72~m}}[/tex]
[tex]v=2.21~m/s[/tex]
The cliff drivers must leave the top of the cliff at 2.21 m/s
A bird flies directly into the windshield of a moving car. How does the FORCE exerted on the car compare to the FORCE exerted on the bird?
A: the force on the car is less than the force on the bird
B: The force on the car is equal to the force on the bird
C: the force on the car is greater than the force on the bird
Answer:
b
Explanation:
Tyler drives 50km north. Tyler then drives back 30km south. What distance did he cover? What was his displacement?
Answer:
he covered 80km his displacement was 20km
Explanation:
displacement is the distance from the starting point so in this case its 20 (50-30) and total distance covered is how many kilometers he drove in total
6. A painter weighing 800 newtons stands on a single board scaffold that is supported at each end
by a vertical rope from above. If one rope has a tension of 550 newtons and the other has a
tension of 450 newtons, what is the weight of the board?
Answer:
The weight of the board is 200 N
Explanation:
Translational Equilibrium
An object is in translational equilibrium if the velocity of its translational motion is constant or if it's at rest.
The painter is standing on the single board scaffold, obviously at rest. This means the sum of all translational forces must be zero.
If the tensions of both ropes are T1 and T2, the weight of the painter is Wp, and the weight of the board is Wb, then:
T1 + T2 - Wp - Wb = 0
Both tensions go vertically up and both weights go vertically down.
Solving for Wb:
Wb = T1 + T2 - Wp
Wb = 550 N + 450 N - 800 N
Wb = 200 N
The weight of the board is 200 N
What does it mean to say that the speed of a vehicle is 40 mi/h?
Convert this number to standard notation: 1.4 x 10^-2*
Answer:
0.014
Explanation:
here
1.4 x 10^-2
=0.014
may this help
. If an object has a mass of 200 kg ant a velocity of 30 m/s... what is the Kinetic Energy
(KE) of the object?
Answer:
90,000 JExplanation:
The kinetic energy (KE) of an object can be found by using the formula
[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]
m is the mass
v is the velocity
From the question we have
[tex]k = \frac{1}{2} \times 200 \times {30}^{2} \\ = 100 \times 900[/tex]
We have the final answer as
90,000 JHope this helps you
Answer:
When it hits a wooden target, the ball exerts a force on the fibers in the wood, splintering. First, heavier objects that are moving have more kinetic energy than lighter ones: a In equation form: kinetic energy (joules) = 1/2 x mass (kg) x velocity2 (m/s) Note that: 200 kg-m2/s2 = 200 (kg-m/s2) x m = 200 N x m = 200 joules.
Explanation:
What household item turns electrical energy into radiant energy
Answer:
Television,video game consoles
Answer:
A toaster
Explanation:
Since it heats up with heat waves of radiant energy
You are looking straight down on a magnetic compass that is lying flat on a table. A wire is stretched horizontally under the table, parallel to and a short distance below the compass needle. The wire is then connected to a battery so that a current I flows through the wire. This current causes the north pole of the compass needle to deflect to the left. The questions that follow ask you to compare the effects of different actions on this initial deflection.
If the wire is lowered farther from the compass, how does the new angle of deflection of the north pole of the compass needle compare to its initial deflection?
Answer:
It is smaller
Explanation:
So if you hot glue a match onto another match and then burn the match we would have unlimited matches just think about it. IT'S WEIRD
Answer:
#showerthoughts
Explanation:
Which change in an object will increase its thermal energy?
A. A decrease in either mass or temperature
B. An increase in either mass or velocity
C. A decrease in either mass or velocity
D. An increase in either mass or temperature
Answer:
Heat decreases the thermal energy of an object as energy moves to the air. Heat causes the thermal energy of the object to increase as energy moves from the warmer air to the colder object. Heat has no effect on thermal energy, but it increases the potential energy of an object.
properties seen when one substance changes to another are know as ____ properties
Answer: chemical property
Explanation:
How do you deal with unanswered questions after death?
Answer: you have loved ones who help you get through it and help answer the questions they know.
Answer:
you have loved ones who help you get through it and help answer the questions they know.
Explanation:
A cart is pulled by a force of 250 N at an angle of 35° above the horizontal. The cart accelerates at 1.4 m/s^2. The free-body diagram shows the forces acting on the cart.
A free body diagram with 3 force vectors. The first vector is pointing downward, labeled F Subscript g Baseline. The second vector is pointing up, labeled F Subscript N Baseline. The third vector is pointing up to the right at an angle of 35 degrees, labeled F Subscript p Baseline = 250 N. The up and down vectors are the same length.
The mass of the cart, to the nearest whole number, is
Split up the acceleration into horizontal and vertical components:
a = (1.4 m/s²) (cos(35º) i + sin(35º) j)
a ≈ (1.15 m/s²) i + (0.803 m/s²) j
Do the same with the pulling force (denoted by p):
p = (250 N) (cos(35º) i + sin(35º) j)
p ≈ (205 N) i + (143 N) j
By Newton's second law, the net horizontal force is proportional to the horizontal acceleration according to
∑ F = m a
The only horizontal force acting on the cart is the horizontal component of the pulling force. So we have
205 N = m (1.15 m/s²)
m ≈ 178.571 kg ≈ 180 kg
How much heat is absorbed by 60 g of copper (c=385 J/kg K) when it is heated
from 20°C to 80°C?
Answer:
Q = 1386 J
Explanation:
Mass, m = 60 g = 0.06 kg
Specific heat of copper, c=385 J/kg K
It is heated from 20°C to 80°C.
We need to find the heat absorbed. It can be given by the formula as follows :
[tex]Q=mc\Delta T\\\\Q=0.06\times 385 \times (80-20)\\\\Q=1386\ J[/tex]
So, 1386 J of heat is absorbed.
Giving brainlist ASAP!
Check all that apply!!
Answer:
metal seat belt and door handle
Explanation:
bc its all medal it _____ heat (forgot the word mybad)
explain the change of frequency of the wave if the tension of the string is increased
Answer:
Increasing the tension on a string increases the speed of a wave, which increases the frequency (for a given length). Pressing the finger at different places changes the length of string, which changes the wavelength of standing wave, affecting the frequency.
Explanation:
Photons of infrared radiation with wavelengths longer than those of visible light will have what kind of energy compared to that of visisble light?
Answer:
Infrared photons carry lower radiation energy than the visible light.
Explanation:
Each photon carries an energy that is directly proportional to its frequency, being this proportionality constant the Planck's constant h.So, we can write the energy of a single photon as follows:[tex]E = h*\nu (1)[/tex]
Since there exists an inverse relationship between wavelength and frequency, and infrared radiation has longer wavelengths, this means that its frequency is lower than the one of the visible light.So, an infrared photon carries less energy that one of the visible light.Infrared photons carry lower radiation energy than the visible light.
What are visible and infrared radiation?
Visible light is the section of the spectrum of electromagnetic radiation which are visible to human eyes. The wavelength range of this light varies from 400 nm to 700 nm .
Each photon carries an energy that is directly proportional to its frequency, being this proportionality constant the Planck's constant h.
So, we can write the energy of a single photon as follows:
[tex]E=h\nu[/tex]
Since there exists an inverse relationship between wavelength and frequency, and infrared radiation has longer wavelengths, this means that its frequency is lower than the one of the visible light.
So, an infrared photon carries less energy than one of the visible light.
To know more about Visible and infrared radiation, follow
https://brainly.com/question/11847490
Explain What determines the amount of
chemical energy a substance has?
1. Two forces F~ 1 and F~ 2 are acting on a block of mass m=1.5 kg. The magnitude of force F~ 1 is 12N and it makes an angle of θ = 37◦ with the horizontal as shown in figure-1. The block is sliding at a constant velocity over a frictionless floor.
(a) Find the value of the normal force on the block.
(b) Find the magnitude of force F~2 that is acting on the block
(c) Find the magnitude of force F~ 2 if the block accelerates with a magnitude of a = 2.5 m/s2 along the direction of F~ 2 .
Answer:
Normal force=7.48 N
Explanation:
N+F~1 sinθ-mg=0
=>N=1.5*9.8-12 sin37◦
=>N=14.7-7.22=7.48 N
The Dodgers are up at bat during the World Series. Joc Pederson swings his baseball bat and it collides perfectly with the baseball. Identify the action and reaction forces when the bat hits the baseball.
Action force:
Reaction force:
Answer:
According to Newton's third law, for every action force there is an equal (in size) and opposite (in direction) reaction force. ... The baseball forces the bat to the left; the bat forces the ball to the right. Together, these two forces exerted upon two different objects form the action-reaction force pair.
read the sentences choose the one that is informational
Answer:
at least put the sentences in the Ques. smh
Explanation:
Answer:
B-The world’s largest pancake griddle is located in Penn Yan, NY, and measures 27 feet from end to end.
Explanation:
i got it right on my test
which transition metals have more in common than other
a) alkali metals
b) lanthanides
c) actinides
d) lanthanides and actinides
Answer:
A. alkali metals
Explanation:
im not sure about that
Answer:
c
Explanation:
haha signs d d Sd Didi d do f idi
